ICSE Class 10 Equation of a Straight Line — Mock Test (2027)
Free online mock test for Equation of a Straight Line (ICSE Class 10 Mathematics) — 20 competency-based questions based on the latest CISCE 2027 syllabus, with instant marking. Try the samples below, then take the full test free.
What to expect: This mock test covers key concepts from the Equation of a Straight Line chapter — including application-based and competency-focused questions aligned with how ICSE actually sets the paper.
Tip: Attempt without notes first to identify gaps, then review explanations for any wrong answers. Retake after a few days for best retention.
Sample questions
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1.In the given rectangle formed by the lines $x = -1$, $x = 4$, $y = -1$ and $y = 2$ (as shown in the diagram below), which of the following correctly represents the equation of the diagonal labeled AC in the diagram?
- A.$3x - 5y + 2 = 0$
- B.$3x - 5y - 2 = 0$
- C.$3x + 5y - 7 = 0$
- D.$5x - 3y - 2 = 0$
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2.Which of the following is the slope of the line passing through the points $(6, 0)$ and $(-4, 1)$?
- A.$-\frac{3}{5}$
- B.$-\frac{1}{10}$
- C.$\frac{1}{10}$
- D.$\frac{3}{2}$
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3.Find the equation of the line passing through the point (2, 4) and perpendicular to the $x$-axis.
- A.$y = 4$
- B.$x = 2$
- C.$y = 2x$
- D.$x + y = 6$
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4.A line through the origin meets the line $2x = 3y + 13$ at right angles at point Q. What are the coordinates of Q?
- A.$(2, -3)$
- B.$(-2, 3)$
- C.$(3, -2)$
- D.$(-3, 2)$
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5.Does the line $3x - 5y = 6$ bisect the join of $(5, -2)$ and $(-1, 2)$?
- A.Yes, because the midpoint lies on the line.
- B.No, because the midpoint does not satisfy the line equation.
- C.Yes, because the line passes through both given points.
- D.No, because the line is parallel to the join of the points.
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